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1302203010213 = 3472610153777
BaseRepresentation
bin10010111100110001010…
…110010000110010100101
311121111012202200222010000
4102330301112100302211
5132313402432311323
62434120201451513
7163036542645600
oct22746126206245
94544182628100
101302203010213
11462296718396
121904611a0b99
1395a49640c91
1447053dab337
1523d17538e43
hex12f31590ca5

1302203010213 has 60 divisors (see below), whose sum is σ = 2263273696332. Its totient is φ = 743980204800.

The previous prime is 1302203010179. The next prime is 1302203010217. The reversal of 1302203010213 is 3120103022031.

1302203010213 is a `hidden beast` number, since 130 + 2 + 20 + 301 + 0 + 213 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 339524139969 + 962678870244 = 582687^2 + 981162^2 .

It is not a de Polignac number, because 1302203010213 - 28 = 1302203009957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1302203010217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 24187981 + ... + 24241757.

Almost surely, 21302203010213 is an apocalyptic number.

It is an amenable number.

1302203010213 is a deficient number, since it is larger than the sum of its proper divisors (961070686119).

1302203010213 is an equidigital number, since it uses as much as digits as its factorization.

1302203010213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59904 (or 59888 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1302203010213 its reverse (3120103022031), we get a palindrome (4422306032244).

The spelling of 1302203010213 in words is "one trillion, three hundred two billion, two hundred three million, ten thousand, two hundred thirteen".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 6101 18303 42707 53777 54909 128121 161331 164727 298949 376439 384363 483993 494181 896847 1129317 1153089 1451979 2635073 2690541 3387951 3459267 4355937 7905219 8071623 10163853 23715657 24214869 30491559 71146971 213440913 328093477 984280431 2296654339 2952841293 6889963017 8858523879 16076580373 20669889051 26575571637 48229741119 62009667153 144689223357 186029001459 434067670071 1302203010213